Answer:
294 in^2 = A
Step-by-step explanation:
Let h represent the length of the hypotenuse, b the base and h the height. Because this is a right triangle, the Pythagorean Theorem applies.
(hypotenuse)^2 = (base)^2 + (height)^2
h^2 = (h - 7)^2 + (h - 14)^2
Perimeter of the triangle is 84 inches, equal to (h) + (h - 7) + (h - 14), which in turn simplifies to 84 = h + h - 7 + h - 14, or 84 = 3h - 21, or 3h = 105. Solving this for h, we get h = 35.
Then the base is (35 - 7), or 28, and the height is (35 - 14), or 21.
The area of the triangle is found using the formula
A = (1/2)(base)(height) = (1/2)(28)(21) = 294 in^2 = A
State if a triangle is acute, obtuse, or right.
A) Obtuse
B)Acute
C)Right
ANSWER QUICK 10 POINTS!!
Answer:
acute
Step-by-step explanation:
3/8 is 4 & 3/5 % of what number? (Round to the nearest hundredth.)
Answer:
n = 8.15
Step-by-step explanation:
3/8 is 4 & 3/5 % of what number?
Rewrite this as: 3/8 is (4 3/5)% of what number?
Convert 4 3/5% into a decimal: 0.046
Then write out and solve the equation 3/8 = 0.046n, where n is the unknown number.
Dividing both sides by 0.046, we get n = 8.15
pls help me with 15 and 16 I will make u brianlist thank u:)
Answer:
15. c
16. b
i hope you figure out later in life how to solve.
Answer:
A, D
Step-by-step explanation:
When you are writing an indirect proof, the first step is to temporarily assume that the opposite of what is given is true.
Because of this, that would mean that you would have to temporarily assume x>6, because the first step is to assume the wrong thing, making the answer A.
Same thing for number 16. It is giving you that n is an odd number, so you can temporarily say that n^2 is an even, since an odd times an odd it always going to equal an even, making the answer D.
Which of the following equations describes the graph?
1/2x^2 - 2x +1
Step-by-step explanation:
it cannot be negative x as the parabola has a minimum value, the coordinates of turning point is (-1,2)
as it is -1 there has to be a negative sign in equation
so the right one is 2nd one
Answer:
Step-by-step explanation:
the graph is clearly that of a parabola that opens up and has its vertex at (2, -1). The coefficient of x^2 must be + because the parabola opens up.
Using the point-slope formula y - k = a(x - h)^2, and letting 2 replace h and -1 replace k, we get:
y + 1 = a(x - 2)^2 or y = a(x - 2)^2 - 1
Determine the surface area of a sphere with a diameter of 16 cm. Question 4 options: A) 804.2 cm2 B) 1,024 cm2 C) 201.0 cm2 D) 3,216.9 cm2
Answer:
The answer is option A.
804.2cm²Step-by-step explanation:
Surface area of a sphere is 4πr²
where r is the radius
radius = diameter / 2
radius = 16/2 = 8cm
Surface area of the sphere is
4π (8)²
= 4(64)π
= 256π
= 804.2cm²
Hope this helps you.
In a linear function, which of the following represents the average rate of change of the function? Slope y-intercept independent variable dependent variable
Answer:
the slope
Step-by-step explanation:
If the function is linear, the average rate of change of y with respect to x is the slope of the line.
Answer:
slope
Step-by-step explanation:
Plz help me-7.1(z-1.1)
Answer:
-7.1z +7.81Step by step explanation:
[tex] - 7.1(z - 1.1)[/tex]
Multiply each term in paranthesis by -7.1
[tex] - 7.1 \times z - 7.1 \times ( - 1.1)[/tex]
Multiply:
[tex] -7.1z + 7.81[/tex]
Hope this helps...
Good luck on your assignment..
Please help me prove that AÊD = B
Please help solve i give brainliest
Answer:
(0,3)
Step-by-step explanation:
y = 2x+3
y = -3x+3
Since both equations are equal to y, set them equal to each other
2x+3 = -3x+3
Subtract 3 from each side
2x = -3x
Add 3x to each sdie
2x+3x = -3x+3x
5x =0
Divide by 5
x=0
Now solve for y
y =2x+3
y = 0+3
y=3
(0,3)
Answer:
(0,3)
Step-by-step explanation:
y = 2x+3
y = -3x+3
2x+3 = -3x+3
2x = -3x
2x+3x = -3x+3x
5x =0
x=0
The solve for y
y =2x+3
y = 0+3
y=3
(x,y)=(0,3)
Then (0,3) will be your answer!
Hope this help!
I need help !!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
This is just comparing what is bigger, I don't see what's so hard about it.
Step-by-step explanation:
1. >
2.>
3.>
4.>
5.<
6.<
7.>
8.<
b.
1.>
2.<
3.>
4.<
5.>
6.>
7.>
8.>
If P(x)= x3 –x2+1, Then P(0)+P(1) =
Answer:
[tex]p(0) + p(1) = 2[/tex]
Step-by-step explanation:
=> [tex]p(x) = x^3-x^2+1[/tex]
Putting x = 0 in p(x)
=> [tex]p(0) = (0)^3-(0)^2+1[/tex]
=> [tex]p(0) = 0-0+1[/tex]
=> [tex]p(0) = 1[/tex]
Putting x = 1 in p(x)
=> [tex]p(1) = (1)^3-(1)^2+1[/tex]
=> [tex]p(1) = 1-1+1[/tex]
=> [tex]p(1) = 1[/tex]
So,
=> [tex]p(0)+p(1) = 1+ 1[/tex]
=> [tex]p(0) + p(1) = 2[/tex]
In how many ways can we put six marbles in different colors into three jars? Note that the jars may be empty.
Permutation helps us to know the number of ways an object can be arranged in a particular manner. The number of ways in which 6 marbles can be put in three different jars is 720.
What is Permutation?Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.
[tex]^nP_r = \dfrac{n!}{(n-r)!}[/tex]
where,
n is the number of choices available,
r is the choices to be made.
Given that there are 6 marbles and 3 different jars. Therefore, The number of ways in which 6 marbles can be put in three different jars is,
Number of ways = ⁶P₃ × 3!
= 120 × 6
= 720
Hence, The number of ways in which 6 marbles can be put in three different jars is 720.
Learn more about Permutation:
https://brainly.com/question/11732255
#SPJ2
Plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
12x-15
Step-by-step explanation:
In my expression, I multiplied 12(how much money she makes per hour) by x(the number of hours she worked) then subtracted 15, which was the fine she had to pay.
Answer:
12x-15
Step-by-step explanation:
I took the test
Which of the following is not a condition that must be met before you can use
the quadratic formula to find the solutions of an equation?
Answer:
D. The coefficient of the x^2-term must be positive.
Step-by-step explanation:
A. The coefficient of the x2-term can't be zero.
B. There can be no term whose degree is higher than 2.
C. One side of the equation must be zero.
D. The coefficient of the x2-term must be positive.
Quadratic equation is given as:
y=ax^2+bx+c
To use the quadratic formula,we have
ax^2+by+c=0
Coefficient of x^2 can not be equal to 0, that is a can not be equal to 0
There can be no term whose degree is higher than 2. The highest degree in a quadratic equation is 2
One side of the equation must be 0, that is ax^2+by+c=0
Coefficient of x^2 must be positive. The coefficient of x^2 can either be positive or negative. That is, it can either be a or -a
Question 5 of 10
Solve the system of equations below by graphing both equations with a
pencil and paper. What is the solution?
y = 3x - 4
y=-2x+1
A: (0, -4)
B. (2, 2)
C. (3,5)
D. (1,-1)
Answer:
D.(1,-1)
Step-by-step explanation:
A positive plus a negative would be a negative but the negative number is less than the positive then you'll have to subtract them both
Answer:
D. 1, -1
Step-by-step explanation:
Trust me g
Round 7, 165.482 to the nearest hundredth.
O 7, 200
O 7, 165.48
O 7, 165.49
O 7, 165.5
Answer:
7, 165.482 ≈ 7,165.48
Step-by-step explanation:
7, 165.482
Locate the hundredth:
7, 165.482
Check the number to the left:
7, 165.482
If the number is greater than or equal to five, we round up.
If the number is less than four, we round down.
2 is less than four.
Therefore:
7, 165.482 ≈ 7,165.48
The given number rounded to the nearest hundredth is 7, 165.48.
The given decimal number is 7,165.482.
We need to round 7,165.482 to the nearest hundredth.
How to round the decimal number to the nearest hundredth?To round a number to the nearest hundredth, look at the next place value to the right (the thousandths this time). Same deal: If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the hundredth place, and then remove all the digits to the right.
Now, in the number 7,165.482 digits, the thousandth place is 2.
So, the number to the nearest hundredth is 7, 165.48
Therefore, the given number rounded to the nearest hundredth is 7, 165.48.
To learn more about rounding off numbers visit:
https://brainly.com/question/902495.
#SPJ2
will mark !!BRAINLIEST!! for correct answer. Select all that apply. Which of the following shows that 5/6 = 15/16 is a proportion?
5 • 15 = 6 • 18
5 • 18 = 6 • 15
5.6/6.3 = 5/18
5+10/6+12 = 15/18
Answer:
5+10/6+12
Step-by-step explanation:
5+10 is 15
6+12 is 18
so that would be 15/8 which is equal to 15/18
That is the best answer but this question doesn't really make sense.
Hope this helps!
Also side note: 5/6 is not proportional to 15/16. 5 * 3=15, but 6*3 does not equal to 16! Please check the question and make sure you typed the right thing! Thanks!
actually 5/6 and 15/16 are not in proportion
since 6*15 is not equal to 16*5
3. If one leg of a right triangle measures 3 centimeters and the other leg measures 6 centimeters, what is the length of the hypotenuse in centimeters?
O A. 573
OB. 5
C.3V5
D. 9
Answer:
C.
Step-by-step explanation:
Translate this sentence into an equation.
75 is the product of Greg's score and 5.
Use the variable g to represent Greg's score.
Answer:
5g = 75
Step-by-step explanation:
Find the value of the trigonometric ratio, tan X.
Answer:
A. 24/7
What are sine, cosine, and tangent?
SOH - CAH - TOA
sine = opposite/hypotenuse
cosine = adjacent/hypotenuse
tangent = opposite/adjacent (that is not hypotenuse)
Step-by-step explanation:
tanX = ZY/XY = 48/14 = 24/7
Answer:
24/25
Step-by-step explanation: opposite side
The tangent of the angle X is tan X = ------------------------ = 48/50 = 24/25
adjacent side
For her phone service, Kala pays a monthly fee of $10 , and she pays an additional $0.04 per minute of use. The least she has been charged in a month is $69.48. What are the possible numbers of minutes she has used her phone in a month? Use m for the number of minutes, and solve your inequality for m .
Answer:
1487
Step-by-step explanation:
The inequality is 0.04m + 10 ≥ 69.48. We use ≥ and not > because it says "least", indicating that we need to use the ≥ sign. Solving for m we get:
0.04m + 10 ≥ 69.48
0.04m ≥ 59.48
m ≥ 1487
The smallest integer that satisfies this inequality is 1487 minutes.
2x - 5y = 10
solve for Y
i’ll give brainliest
Answer:
y = 2/5x - 2
Step-by-step explanation:
Step 1: Subtract 2x on both sides
-5y = 10 - 2x
Step 2: Divide everything by -5
y = -2 + 2/5x
Step 3: Rearrange
y = 2/5x - 2
Which expressions are equivalent to the one below? Check all that apply.
4^3•4x
The expression [tex]4^{3} *4^{x}[/tex] is equivalent to [tex]4^{x+3} , 64*4^{x}[/tex].
What is an expression?An expression is a combination of symbols and it does not convey full meaning of anything.
How to make equivalent expressions?We have been given the expression 4^{3} *4^{x} and we have to find the equivalent equations.
If we see that both bases are equal so we will add the power with only one base from which 4^{x+3} .
If we see that 4 has a power of 3 so we will open it and it becomes 4*4*4*[tex]4^{x}[/tex]
Hence the equivalent expressions are 4^{x+3} , 64*4^{x}.
Learn more about equivalent expressions at https://brainly.com/question/2972832
#SPJ2
Find the area of the given shape
Answer:
100
Step-by-step explanation:
A rhombus is split into four right triangles
The base of one is 5 and the hypontenuse is 10
So remember x^2y^2=z^2
5^2=25
25+y^2=100
Ok so y is between 8 and 9 so lets just use 8 first
5*8*1/2=20
there are 4 triangles so 20*4=80
now same thing with 9
5*9*1/2=22.5
22.5*4=90
your answer is between 80 and 90
btw i might have gotten the answer wrong but idk if u were supposed to have an exact answer and also idk if the "10" was the hypontheses but since u were probably offline i answered it
Write the contrapositive of the conditional statement. Determine whether the contrapositive is true or false. If it is false, find a counterexample.
Answer:
D) A statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. True
Step-by-step explanation:
Information is missing in the question, which would be the following:
A converse statement is formed by exchanging the hypothesis and conclusion of the conditional.
The options for answering the question are also missing, which by investigating I could know that they are as follows:
A) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. True
B) A statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. False; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional.
C) A non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. False; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional.
D) A statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. True
Now we have that a conditional statement has the form of whether A then B.
Also, A contradictory statement is when we exchange the hypothesis and the conclusion of the sentence and deny them both. It has the following form if not A, then not B.
Therefore the answer is D)
Consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total. What is the expected value of the points earned on a single roll in this game?
Answer:
The expected value of the points earned on a single roll in this game is [tex]\dfrac{1}{6} = 0.1667[/tex] .
Step-by-step explanation:
We are given that consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total.
Assuming that the numbered cube is a dice with numbers (1, 2, 3, 4, 5, and 6).
Here, the prime numbers are = 1, 2, 3 and 5
Numbers which are not prime = 4 and 6
This means that if the dice got the number 1, 2, 3 or 5, then that many points will be added to the player’s total and if the dice got the number 4 or 6, then that many points will get deducted from the player’s total.
Here, we have to make a probability distribution to find the expected value of the points earned on a single roll in this game.
Note that the probability of getting any of the specific number on the dice is [tex]\dfrac{1}{6}[/tex] .
Numbers on the dice (X) P(X)
+1 [tex]\frac{1}{6}[/tex]
+2 [tex]\frac{1}{6}[/tex]
+3 [tex]\frac{1}{6}[/tex]
-4 [tex]\frac{1}{6}[/tex]
+5 [tex]\frac{1}{6}[/tex]
-6 [tex]\frac{1}{6}[/tex]
Here (+) sign represent the addition in the player's total and (-) sign represents the deduction in the player's total.
Now, the expected value of X, E(X) = [tex]\sum X \times P(X)[/tex]
= [tex](+1) \times \frac{1}{6} +(+2) \times \frac{1}{6} +(+3) \times \frac{1}{6} +(-4) \times \frac{1}{6} +(+5) \times \frac{1}{6} +(-6) \times \frac{1}{6}[/tex]
= [tex]\frac{1}{6} + \frac{2}{6} + \frac{3}{6} - \frac{4}{6} + \frac{5}{6} - \frac{6}{6}[/tex]
= [tex]\frac{1+2+3-4+5-6}{6}[/tex]
= [tex]\frac{11-10}{6}= \frac{1}{6}[/tex]
Hence, the expected value of the points earned on a single roll in this game is [tex]\frac{1}{6} = 0.1667[/tex] .
The sum of two numbers is 88; one number is 12 less than the other. What is the larger number? 1. Cut the _______ number in half. Write both halves on your paper. 2. Cut the ______________in half. 3. Now ADD half and SUBTRACT half from each side.
Answer:
50
Step-by-step explanation:
I have set up an equation, where 'x' is the larger number:
x + (x - 12) = 88
Solve for 'x':
x + (x - 12) = 88
x + x - 12 = 88
2x - 12 = 88
2x -12 + 12 = 88 + 12
2x = 100
2x/2 = 100/2
x = 50
The larger number should be 50.
Answer:50
Step-by-step explanation:
Can someone help? Two players take turns placing multiple chess kings on the cells of a 9×9 chess board, one king per move, so that the kings do not beat each other. (The color of a king piece does not matter.) The player who cannot make a move loses. Which player is the winner?
Answer:
the first player wins
Step-by-step explanation:
The first player can always win if they adopt this strategy:
1. make the first move in the center of the board
2. make every subsequent move in the position that is the image of the 2nd player's move, reflected across the center.
Hence if the 2nd player can make a move, so can the first.
a plastic storage container has a base which is 70 centimetres long and 30 centimetres wide the container is 50cm. high and has no lid calculate the amount of plastic needed to manufacture this box
Answer:
The asnwer is 12100 cm^2 of plastic without lid
Step-by-step explanation:
There 6 sides in a box, but there is no lid so only 5 sides.
Calulate the area of all 5 sides and add them up.
( ( 50 x 30) x 2 ) +( ( 70 x 50 ) x 2) + ( 70 x 30 )
=12100 cm^2
10) Spike drives for 50 miles at 60mph. He slows down and travels
another 50 miles at 40mph. For the final part of the 120 mile journey,
he speeds up to 80mph. How long does he take altogether? What is
his average speed (to the nearest mph)?
Answer:
2 1/3 hours or 2 hours 20 minutes.
51.4 mph to 1 decimal place.
Step-by-step explanation:
Time = distance speed
First 50 miles time taken = 50 / 60 = 5/6 hours
Second 50 miles - time = 50/40 = 5/4 hours.
Final 20 miles - time taken = 20 / 80 = 1/4 hours.
Total time taken = 5/6 + 5/4 + 1/4
= 5/6 + 6/4
= 10/12 + 18/12
= 28/12
= 7/3 or 2 1/3 hours or 2 hours 20 minutes.
Average speed = total distance / total time
= 120 / 7/3
= 120 * 3/7
= 51.4 mph to 1 decimal place.